To solve this problem, let's go step by step and apply the photoelectric effect equations. According to the photoelectric effect, the photoelectric current
I depends on the number of photons hitting the surface and is directly proportional to the intensity of the light.
1. Threshold Frequency
(n0) : The minimum frequency of light required to eject electrons from the metal surface.
2. Given Frequency: The light has a frequency of
‌n0, which is higher than the threshold frequency
n0.
3. Initial Intensity
(In) : The initial intensity of the light is
In, producing a photoelectric current
I.
4. Reducing Frequency and Intensity: Both frequency and intensity are halved. Therefore, the new frequency is
‌(‌n0)=‌n0. The new intensity becomes
‌.
When the frequency is reduced to
‌n0, it becomes lower than the threshold frequency
n0, which means no electrons will be ejected from the metal surface. Hence, no photoelectric current will be produced.
Therefore, the new photoelectric current will be zero:
Option C:
I1=0